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Finding the Fourth Proportional to 504,968.97, 697,109.72 and 314,043.87

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Solution

The fourth proportional to 504,968.97, 697,109.72 and 314,043.87 is: 433,537.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,968.97 : 697,109.72 = 314,043.87 : x
  2. Step 2: Convert to fraction form
    504,968.97/697,109.72 = 314,043.87/x
  3. Step 3: Cross multiply
    504,968.97x = 697,109.72 × 314,043.87
  4. Step 4: Simplify right side
    504,968.97x = 218,923,035,327.36
  5. Step 5: Solve for x
    x = 218,923,035,327.36/504,968.97
  6. Step 6: Final answer
    x = 433,537.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.